Geodesic
Universal Entire Functions That Define Order Isomorphisms of Countable Real Sets
Canadian mathematical bulletin, Tome 62 (2019) no. 4, pp. 767-779

Voir la notice de l'article provenant de la source Cambridge

DOI

In 1895, Cantor showed that between every two countable dense real sets, there is an order isomorphism. In fact, there is always such an order isomorphism that is the restriction of a universal entire function.
DOI : 10.4153/S0008439519000158
Mots-clés : universal function 
Gauthier, P. M. Universal Entire Functions That Define Order Isomorphisms of Countable Real Sets. Canadian mathematical bulletin, Tome 62 (2019) no. 4, pp. 767-779. doi: 10.4153/S0008439519000158
@article{10_4153_S0008439519000158,
     author = {Gauthier, P. M.},
     title = {Universal {Entire} {Functions} {That} {Define} {Order} {Isomorphisms} of {Countable} {Real} {Sets}},
     journal = {Canadian mathematical bulletin},
     pages = {767--779},
     year = {2019},
     volume = {62},
     number = {4},
     doi = {10.4153/S0008439519000158},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000158/}
}
TY  - JOUR
AU  - Gauthier, P. M.
TI  - Universal Entire Functions That Define Order Isomorphisms of Countable Real Sets
JO  - Canadian mathematical bulletin
PY  - 2019
SP  - 767
EP  - 779
VL  - 62
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000158/
DO  - 10.4153/S0008439519000158
ID  - 10_4153_S0008439519000158
ER  - 
%0 Journal Article
%A Gauthier, P. M.
%T Universal Entire Functions That Define Order Isomorphisms of Countable Real Sets
%J Canadian mathematical bulletin
%D 2019
%P 767-779
%V 62
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000158/
%R 10.4153/S0008439519000158
%F 10_4153_S0008439519000158

Cité par Sources :